# The Seemingly Simple Square

If ABCD is a 2x2 square, E is the midpoint of AB, F is the midpoint of BC, AF and DE intersect at I, and BD and AF intersect at H. If the area of triangle HID is a/b, where a and b are coprime, what is the value of a+b?

Note by Kathleen Kasper
5 years ago

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I got 0.533

- 5 years ago

use the exact fractional form (which I should have stated in the question), and you're there.

- 5 years ago

Apologies, I am used to working with decimals, the correct answer should then be 8/15

- 5 years ago

yes!

- 5 years ago

Is the answer $$\frac{3}{4}$$?

- 5 years ago

No

- 5 years ago